Answer:
• Complex
,
• Pure imaginary
,
• Nonreal complex
Explanation:
Given the number:
![\sqrt[]{-9}](https://img.qammunity.org/2023/formulas/mathematics/college/6lnewypu2vsx0kqa37hsvsxbp876ijbkxw.png)
We want to determine if the number is real, complex, pure imaginary, or nonreal complex.
![√(-9)=\sqrt[]{-1*9}=\sqrt[]{9}*\sqrt[]{-1}=3i,i=\sqrt[]{-1}](https://img.qammunity.org/2023/formulas/mathematics/college/fnrvpx438x83zozy25rvfx58yeoptund2k.png)
Since the root is not real, the number is therefore complex.
In addition, it has no real component, therefore, it is a pure imaginary
number.
It can also be referred to as a non-real complex number.